Details

Time bar (total: 3.7s)

sample54.0ms

Algorithm
intervals
Results
18.0ms43×body1280valid
14.0ms46×body640valid
7.0ms134×body80valid
4.0ms26×body320valid
1.0ms7×body160valid

simplify7.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0135
1215
2255
3255

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* x (cos y)) (* z (sin y)))
0.1b
(* x (cos y))
0.1b
(* z (sin y))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
7×*-commutative
4×prod-diff
2×fma-neg
1×sub-neg flip3-- flip--
Counts
3 → 12
Calls
3 calls:
5.0ms
(- (* x (cos y)) (* z (sin y)))
2.0ms
(* x (cos y))
3.0ms
(* z (sin y))

series139.0ms

Counts
3 → 9
Calls
3 calls:
64.0ms
(- (* x (cos y)) (* z (sin y)))
38.0ms
(* x (cos y))
36.0ms
(* z (sin y))

simplify94.0ms

Algorithm
egg-herbie
Counts
21 → 21
Iterations

Useful iterations: 3 (20.0ms)

IterNodesCost
086106
1263100
2721100
3134184
4268384
5500384

prune39.0ms

Filtered
21 candidates to 11 candidates (52.4%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New19221
Fresh000
Picked011
Done000
Total19322

Merged error: 0.1b

Counts
22 → 3

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b
(* z (sin y))
0.1b
(* z (sin y))
0.2b
(* (fma x (cos y) (* z (sin y))) (- (* x (cos y)) (* z (sin y))))
28.1b
(/ (* (fma x (cos y) (* z (sin y))) (- (* x (cos y)) (* z (sin y)))) (fma x (cos y) (* z (sin y))))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
12×*-commutative
8×prod-diff
6×distribute-rgt-in distribute-lft-in
4×associate-*r/
2×sub-neg flip3-- flip-- associate-/l/ associate-/l*
1×frac-2neg clear-num div-inv
Counts
4 → 24
Calls
4 calls:
3.0ms
(* z (sin y))
3.0ms
(* z (sin y))
6.0ms
(* (fma x (cos y) (* z (sin y))) (- (* x (cos y)) (* z (sin y))))
8.0ms
(/ (* (fma x (cos y) (* z (sin y))) (- (* x (cos y)) (* z (sin y)))) (fma x (cos y) (* z (sin y))))

series322.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(* z (sin y))
38.0ms
(* z (sin y))
183.0ms
(* (fma x (cos y) (* z (sin y))) (- (* x (cos y)) (* z (sin y))))
66.0ms
(/ (* (fma x (cos y) (* z (sin y))) (- (* x (cos y)) (* z (sin y)))) (fma x (cos y) (* z (sin y))))

simplify95.0ms

Algorithm
egg-herbie
Counts
36 → 36
Iterations

Useful iterations: 3 (91.0ms)

IterNodesCost
0160342
1600330
22790330
35001329

prune82.0ms

Filtered
36 candidates to 19 candidates (52.8%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New33336
Fresh011
Picked101
Done011
Total34539

Merged error: 0.1b

Counts
39 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

0.1b
(* x (cos y))
0.1b
(* z (sin y))
0.2b
(/ 1 (- (* x (cos y)) (* z (sin y))))
0.2b
(/ 1 (/ 1 (- (* x (cos y)) (* z (sin y)))))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
7×associate-/r/
4×clear-num
3×frac-2neg associate-/r* div-inv inv-pow
2×flip3-- *-commutative flip-- remove-double-div
1×pow-flip
Counts
4 → 21
Calls
4 calls:
2.0ms
(* x (cos y))
3.0ms
(* z (sin y))
5.0ms
(/ 1 (- (* x (cos y)) (* z (sin y))))
6.0ms
(/ 1 (/ 1 (- (* x (cos y)) (* z (sin y)))))

series313.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(* x (cos y))
36.0ms
(* z (sin y))
169.0ms
(/ 1 (- (* x (cos y)) (* z (sin y))))
67.0ms
(/ 1 (/ 1 (- (* x (cos y)) (* z (sin y)))))

simplify42.0ms

Algorithm
egg-herbie
Counts
33 → 33
Iterations

Useful iterations: 3 (40.0ms)

IterNodesCost
08197
127095
2104895
3500194

prune68.0ms

Filtered
33 candidates to 20 candidates (60.6%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New33033
Fresh033
Picked011
Done011
Total33538

Merged error: 0.1b

Counts
38 → 5

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b
(* z (sin y))
0.2b
(/ 1 (fma x (cos y) (* z (sin y))))
0.2b
(* (fma x (cos y) (* z (sin y))) (- (* x (cos y)) (* z (sin y))))
28.1b
(* (* (fma x (cos y) (* z (sin y))) (- (* x (cos y)) (* z (sin y)))) (/ 1 (fma x (cos y) (* z (sin y)))))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
13×associate-*r/
12×*-commutative
8×prod-diff
6×distribute-rgt-in frac-times distribute-lft-in
5×flip3-- clear-num flip--
4×frac-2neg
2×sub-neg associate-*l* associate-*l/ un-div-inv div-inv
1×associate-*r* inv-pow
Counts
4 → 37
Calls
4 calls:
3.0ms
(* z (sin y))
2.0ms
(/ 1 (fma x (cos y) (* z (sin y))))
6.0ms
(* (fma x (cos y) (* z (sin y))) (- (* x (cos y)) (* z (sin y))))
8.0ms
(* (* (fma x (cos y) (* z (sin y))) (- (* x (cos y)) (* z (sin y)))) (/ 1 (fma x (cos y) (* z (sin y)))))

series452.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(* z (sin y))
164.0ms
(/ 1 (fma x (cos y) (* z (sin y))))
184.0ms
(* (fma x (cos y) (* z (sin y))) (- (* x (cos y)) (* z (sin y))))
68.0ms
(* (* (fma x (cos y) (* z (sin y))) (- (* x (cos y)) (* z (sin y)))) (/ 1 (fma x (cos y) (* z (sin y)))))

simplify38.0ms

Algorithm
egg-herbie
Counts
49 → 49
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0202542
1953500
25001499

prune101.0ms

Filtered
49 candidates to 28 candidates (57.1%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New48149
Fresh112
Picked011
Done022
Total49554

Merged error: 0.1b

Counts
54 → 5

regimes109.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0105
1105

end0.0ms

sample1.6s

Algorithm
intervals
Results
665.0ms1516×body1280valid
337.0ms1261×body640valid
245.0ms4275×body80valid
114.0ms642×body320valid
37.0ms306×body160valid